201112122002120 has 512 divisors, whose sum is σ = 559065386188800. Its totient is φ = 63595316505600.

The previous prime is 201112122002119. The next prime is 201112122002153. The reversal of 201112122002120 is 21200221211102.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84821644535 + ... + 84821646905.

It is an arithmetic number, because the mean of its divisors is an integer number (1091924582400).

Almost surely, 2^{201112122002120} is an apocalyptic number.

201112122002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201112122002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279532693094400).

201112122002120 is an abundant number, since it is smaller than the sum of its proper divisors (357953264186680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201112122002120 is a wasteful number, since it uses less digits than its factorization.

201112122002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 201112122002120 its reverse (21200221211102), we get a palindrome (222312343213222).

The spelling of 201112122002120 in words is "two hundred one trillion, one hundred twelve billion, one hundred twenty-two million, two thousand, one hundred twenty".